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Finding the Third Proportional to 89,854,030 and 128,403,746

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Solution

The third proportional to 89,854,030 and 128,403,746 is: 183,492,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,854,030 : 128,403,746 = 128,403,746 : x
  2. Step 2: Convert to fraction form
    89,854,030/128,403,746 = 128,403,746/x
  3. Step 3: Cross multiply
    89,854,030x = 128,403,746 × 128,403,746
  4. Step 4: Simplify right side
    89,854,030x = 16,487,521,986,832,516
  5. Step 5: Solve for x
    x = 16,487,521,986,832,516/89,854,030
  6. Step 6: Final answer
    x = 183,492,292.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.